T(n, k) = (n + k - 1)*(n + k)*binomial(2*n + 1, n - k + 1) with T(0, 0) = T(1, 0) = 1. Triangle read by rows, T(n, k) for 0 <= k <= n.

A342313

T(n, k) = (n + k - 1)*(n + k)*binomial(2*n + 1, n - k + 1) with T(0, 0) = T(1, 0) = 1. Triangle read by rows, T(n, k) for 0 <= k <= n.

Terms

    a(0) =1a(1) =1a(2) =6a(3) =20a(4) =60a(5) =60a(6) =210a(7) =420a(8) =420a(9) =210a(10) =1512a(11) =2520a(12) =2520a(13) =1512a(14) =504a(15) =9240a(16) =13860a(17) =13860a(18) =9240a(19) =3960a(20) =990a(21) =51480a(22) =72072a(23) =72072a(24) =51480a(25) =25740a(26) =8580a(27) =1716a(28) =270270a(29) =360360

External references